%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COL058-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:01:54 PM UTC 2026
% Result : Unsatisfiable 2.89s 0.81s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 23 RR)
% Number of literals : 25 ( 24 equ; 22 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
response(response(lark,X1),X2) = response(X1,response(X2,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t1,plain,
response(X1,response(X2,X2)) = response(response(lark,X1),X2),
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(response(lark,lark),lark))),
inference(rw,[status(thm)],[goal_0,t1]) ).
cnf(g0_1,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(response(lark,lark),lark)),response(response(lark,lark),lark))),
inference(rw,[status(thm)],[g0_0,t1]) ).
cnf(g0_2,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(response(lark,lark),lark))),
inference(rw,[status(thm)],[g0_1,t1]) ).
cnf(g0_3,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(lark,response(lark,lark)))),
inference(rw,[status(thm)],[g0_2,t1]) ).
cnf(g0_4,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(response(lark,lark),lark),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
inference(rw,[status(thm)],[g0_3,t1]) ).
cnf(g0_5,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(response(lark,lark),lark),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),
inference(rw,[status(thm)],[g0_4,t1]) ).
cnf(g0_6,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),
inference(rw,[status(thm)],[g0_5,t1]) ).
cnf(g0_7,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(rw,[status(thm)],[g0_6,t1]) ).
cnf(g0_8,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_7,t1]) ).
cnf(g0_9,plain,
response(response(response(lark,lark),response(lark,response(lark,lark))),response(response(lark,lark),lark)) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_8,t1]) ).
cnf(g0_10,plain,
response(response(response(lark,lark),response(response(lark,lark),lark)),response(response(lark,lark),lark)) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_9,t1]) ).
cnf(g0_11,plain,
response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(response(lark,lark),lark)) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_10,t1]) ).
cnf(g0_12,plain,
response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(lark,response(lark,lark))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_11,t1]) ).
cnf(g0_13,plain,
response(response(lark,response(response(lark,response(lark,lark)),response(response(lark,lark),lark))),response(lark,response(lark,lark))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_12,t1]) ).
cnf(g0_14,plain,
response(response(lark,response(response(lark,lark),response(response(response(lark,lark),lark),response(response(lark,lark),lark)))),response(lark,response(lark,lark))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_13,t1]) ).
cnf(g0_15,plain,
response(response(lark,response(response(lark,lark),response(response(response(lark,lark),lark),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_14,t1]) ).
cnf(g0_16,plain,
response(response(lark,response(lark,response(response(response(response(lark,lark),lark),response(lark,response(lark,lark))),response(response(response(lark,lark),lark),response(lark,response(lark,lark)))))),response(lark,response(lark,lark))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_15,t1]) ).
cnf(g0_17,plain,
response(response(lark,response(lark,response(response(response(response(lark,lark),lark),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),response(lark,response(lark,lark))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_16,t1]) ).
cnf(g0_18,plain,
response(response(lark,response(lark,response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),response(lark,response(lark,lark))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_17,t1]) ).
cnf(g0_19,plain,
response(response(lark,response(lark,response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_18,t1]) ).
cnf(g0_20,plain,
response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(rw,[status(thm)],[g0_19,t1]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL058-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 07:24:22 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.89/0.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.89/0.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------